How do you find f inverse?

Answers

Answer 1

Inverse of function is written by using notation f⁻¹

What is inverse of function?

The function that can be reversed into another function is termed as inverse function. It is also called anti function. There are different types of inverse function such as inverse trigonometric function, inverse rational function, inverse log function and so on.

We can determine an inverse function by interchanging the elements that present in the given expressions.

How do we find f inverse?

Inverse of the function f is denoted by notation f⁻¹

let, we have given a function, f(x) = 8x + 9

now, we need to find the inverse of the above function.

in the first step we write the function using y and set equal to x

                      x = 8y +9

in the next step, we arrange to make the y subject,

                 x - 9 = 8y

               8y = x - 9

                y = (x - 9)/ 8

 use the notation f⁻¹ = (x - 9)/ 8

this is the inverse of function f.

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Related Questions

what is the legend of variables of combined gas law

Answers

The combined gas law for a gas is discussed below.

What is a gas?Gas is one of the four fundamental states of matter – the others being solid, liquid, and plasma. A pure gas may be made up of individual atoms, elemental molecules made from one type of atom, or compound molecules made from a variety of atoms.

Given is the combined gas law.

The ideal combined gas law is given by →

PV = nRT

Where -

{P} = pressure     {T} = temperature     {V} = volume    

{n} = number of moles   {R} = gas constant

Non ideal gases are often modelled by the Van der Waals equation as →

(p + n²a/V²)(V - nb) = nRT

Where -

{a} and {b} = constants for a particular gas

{p} = pressure       {v} = volume    

{n} = number of moles       {t} = temperature  

{R} = gas constant

Therefore, the combined gas law for a gas is discussed above.

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Solve for x and check for extraneous solutions. Round any answers to one decimal.
√3x +3+4= -7
X
Is the solution extraneous? Yes or No?

Answers

Answer:

Yes

Step-by-step explanation:

I think its yes.I think It's Yes.

Find the area of a circle with radius,
r
= 5.63m.
Give your answer rounded to 2 DP.

Answers

Answer:

A≈96.07

Step-by-step explanation:

area of a circle is PiXr^2

Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on each shelf?

Answers

There’s 9 on each shelf

Answer:

9

Step-by-step explanation:

27 divided by 3 equal 9

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. Below are the times that she recorded in minutes. 20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70 Which histogram represents the results?

Answers

Not a professional on this, but I think it would be. 20-34 40-41 50-53 56-58 64-70. P.S. Try sending a picture next time.

Answer:

D I took this today math 6th grade

Step-by-step explanation:

2
The size of a TV is the diagonal
measurement of its screen. Will a
46-inch TV fit in a rectangular cabinet
measuring 32 inches long and
28 inches high? Explain.

Answers

Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:

Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for pi​

Answers

Answer: 565.2cm3

Step-by-step explanation:

The volume of the cone with a height of 6 cm and a base diameter of 6 cm is 169.56 cubic cm.

How to find the volume of a right circular cone?

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

Given a cone with a height of 6 cm and a base diameter of 6 cm.

r = 3 cm

h = 6 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times3 ^3 \times 6 \: \rm unit^3\\\\V = 3.14\times 54\\\\V = 169.56[/tex]

Therefore, the volume of the cone is 169.56 cubic cm.

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You randomly choose one shirt from the shelves. Find the probability of the event. 2 green 4 blue 1 white 2 brown 1 red The probability of not choosing a white shirt is

Answers

Answer:

the total number of shares in the shelf is 11 and their two white shirts in the shelf so the probability of not choosing a white shirt is the total which is 11 minus the two white shirts which will give you nine

the probability of a particular site is given by the formula

required outcome / sample space and the sample space here is 11.

Therefore, it is 9/11 that is the probability of not choosing a white shirt.

A rectangle has a perimeter represented by the expression 4x−8. Which expression also represents this perimeter? 4(x-8), 2(2x-8), 2(2x-4), 4(2x-4)

Answers

The perimeter expression of a rectangle has a perimeter represented by the expression 4x−8 is 2(2x - 4)

How to determine the perimeter expression

From the question, we have the following parameters that can be used in our computation:

Perimeter = 4x - 8

Factor out 2 from the expression

So, we have the following representation

Perimeter = 2 * 2x - 2 * 4

So, we have

Perimeter = 2(2x - 4)

Hence, the perimeter is 2(2x - 4)

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state four roles of nitrogen in plants​

Answers

Answer:

Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.

With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.

Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.

Step-by-step explanation:

The magnolia trees purchased for planting at the school are 3 feel tall. Research shows that these types of trees grow at a average of 3/4 per year.

I made a equation y=3/4x+3

Please help me determine the hight of the tree in 3 years!

Answers

Using the linear function given, the tree will have a height of 5.25 feet in 3 years

What is Linear Function

Linear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form

y = mx + c, where m is the slope of the line and c is the y-intercept.

In this problem, the function given already models y = mx + c

Since y = 3/4x + 3;

The height of the tree in 3 years can be solved as;

y = 3/4(3) + 3

y = 9/4 + 3

y = 5.25

The height of the tree in 3 years is 5.25 feet

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Theoretically if you roll a number cube 36 times how many times would you expect to roll the number one?

Answers

Answer:

6

Step-by-step explanation:

Since its theoretical, i believe itll be 1/6 x 36 which is 6 times.

hope I helped :)

Answer:

If you were to roll the cube 36 times, theoretically, you would expect that number 1 will be rolled 6 times.

Step-by-step explanation:

The probability of getting a 1 after rolling the number cube is equal to [tex]\frac{1}{6}[/tex]. Now we just multiply the probability by the number of rolls and get...

[tex](\frac{1}{6})(36) = 6[/tex]

Therefore, if we were to roll the cube 36 times, theoretically we would expect that number 1 will be rolled 6 times.

help me pleeeeeaaaaassseeeee 15 points

Answers

Answer:

Step-by-step explanation:

The steps in order are: 4, 1,  5, 6, 3, 2

a class must have 65% of its capacity order cancelled the class holds 25 students if 16 students have enrolled how many more students need to enroll for the class to be held​

Answers

Answer:

Your answer is 1 more student.

Step-by-step explanation:

For the class to be held it need 16.25 students.

I got that number by multiplying 25 by .65

Because we can't have .25 of a student, and were talking about the minimum requirement. Having less than 16.25 would mean that we wouldn't have the class, so we need 17 students.

Zhzjshdjsjjsjsjsjsjsjskjsjsjskssbsnnsnsnsnamsmmsmsmsmsms

Someone please help me

Answers

Answer:first one .

Step-by-step explanation:

n/a

PLEASE HELP I SET TO 14 POINTS AND WILL MARK BRAINLEST❤️ thank youuu!

Answers

Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:

Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism

Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)

Answer:

E

Step-by-step explanation:

Imagine you cut the figure into two rectangles. This would leave you with a rectangle with the following variables(h=4, w=3, l=9), and a rectangle  with the following variables(H=7, l=3 w=3)

Pls help me with this question plssss

Answers

The average rate of the given function is 2.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(x)=-x²-x+5 and the interval is -6≤x≤2.

x={-6, -5, -4, -3, -2, -1, 0, 1, 2}

y=-x²-x+5

When x=-2

y=-(-2)²-(-2)+5

y=-4+4+5

y=5

When x=-1

y=-(-1)²-(-1)+5

y=5

When x=0

y=5

When x=1

y=-1-1+5

y=3

When x=2

y=-(2)²-(2)+5

y=-1

Now, rate using (1, 3) and (2, -1), we get

m =(-1-1)/(2-3)

m=2

Therefore, the average rate of the given function is 2.

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What is the distance between the points located at 7 and−112 on the number line?

Answers

Answer:

The distance beween the points located 7 and 112 on the number line is -7 i hope this is right

Step-by-step explanation:

Isabella is 30 miles into a 70-mile backpacking trip in the wilderness.
Isabella can hike 8 miles per day. How many more days does Isabella
need to finish?
Isabella needs how
more days.

Answers

Answer: Five Days

Step-by-step explanation:

Isabella can hike 8 miles per day. So:

[tex]\frac{30miles}{8miles} = 3.75 days[/tex]

It will take:

[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]

..in total to hike 70 miles.

So, subtracting the two values:

[tex]8.75 - 3.75 = 5[/tex]

She still needs to hike five days in order to finish the trail.

Help me asap please

Answers

Answer:

So for the first one I got two answer for both actually 1( I got 12 And 120)

2( I got the same 12 and 120) sorry if it ain’t very helpful ;^;

Step-by-step explanation:

Marvin used the money he received from high school graduation gifts to start a new savings account with a simple interest rate of 7. 5%. After 12 years, the account had earned $288. If there were no other deposits or withdrawals, what was the original amount placed in the account?

Answers

The original amount placed in the account is $320.

What is simple interest ?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The simplest way to compute interest is as a percentage of the principal. For instance, if you borrow $100 from a friend and agree to pay back the money with 5% interest, the interest you would have to pay would simply be 5% of $100, or $5.

Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time.

The interest earned is calculated as follows:

I = P*r*t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Marvin is saving money in a savings account with a simple interest rate of r=7.5%=0.075. It's known that after t=12 years, the account had earned $288 interest.

Substituting in the formula:

288 = P*0.075*12

Calculating:

288 = 0.9P

Dividing by 0.9:

P = $320

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What is the equation of the parabola opening upward with a focus at (9,27) and a directrix of y =11



A. F(x) = 1/16(x-9)^2 + 19


B. F(x) = 1/16(x+9)^2 -19


C. F(x) = 1/32(x+9)^2 -19


D. F(x) = 1/32(x-9)^2 + 19

Answers

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

What is the equation of the parabola?

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

Focus at (9,27)

P/2 = 27-19 = 8        Nature of focus

P = 16

so (x-9)^2 = 2py = 32y

y = 1/32(x-9)^2 + 19

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

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8.
Choose the linear inequality that describes each graph.



A. y > – 3x + 5

B. y > – 5x – 3

C. y > – 5x + 3

D. y < – 5x + 3

Answers

Answer:

y > -5x + 3

Step-by-step explanation:

Answer:

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative ----> the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3

...............................................................................................................................................

Answer:

Step-by-step explanation:

To find the linear inequality , Let pick two points from the graph

Lets pick (0,3) and (1,-2)

Lets find out slope using the points

Slope m= -5

y intercept b= 3

Equation of the line is y=mx+b

Now we look at the shaded part. we use test point (0,0)

(0,0) is not in the shaded region

0 >3 is false

calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided​

Answers

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

(-3/4)x + 25 = (1/8)x - 3
Find x and show your work

No links please!

Answers

Step one =

-3/4x + 25 -1/8x = 1/8x = 1/8x -3 - 1/8x

-7/8x + 25 = -3

Step two =

-7/8x + 25 - 25 = -3 - 25

-7/8x = -28

Step three =

(8/-7) * (-7/8x) = (8/-7) * (-28)

Answer

X = 32

please help I’m stuck !!!

Answers

Answer:

D) 4

Step-by-step explanation:

Take the square root of Miriam's starting bacteria to get your answer [tex](\sqrt{16})[/tex]because the exponent in Jessica's equation is the square of Miriam's.

Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)

Answers

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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need some help with the screenshot

Answers

The graph of the function f(x) = 2x² + 2x - 2 is plotted and attached

How to plot the graph of the equation

The graphs of the function is plotted by making a table of value for a number of the x values and the corresponding y values as done below

Using the function the table is created as f(x) = 2x² + 2x - 2

For x = -4, y =  2 * (-4)² + 2 * (-4) - 2 =  22

For x = -2, y =  2 * (--2)² + 2 * (-2) - 2 =  4

For x = 0, y =  2 * (0)² + 2 * (0) - 2 =  -2

For x = 2, y =  2 * (2)² + 2 * (2) - 2 =  10

For x = 4, y =  2 * (4)² + 2 * (4) - 2 =  38

The table of values

x     y

-4   22

-2   4

0    -2

2     10

4    38

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Solve the expression below, when y = 6

5 ( 18 - y)

Answers

Step-by-step explanation:

5 (18 - y) when y=6

5 (18 - 6)

5 × 18 - 5× 6

90 - 30

60

Answer:

-44

Step-by-step explanation:

7×-5y

7(-2)-5(6)

-14-30

-44

HELP PLEASE!! there is a .03 chance that Kelly will win the raffle at school. What is the probability that Kellie will not win the raffle?

Answers

Answer:

Fraction: 97/100

Decimal: 0.97

Percentage: 97%

Step-by-step explanation:

Hope this helped.

97% you just need to substract

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Tilda took a random sample of n = 17 redwood trees in a park she oversees and had their heightsmeasured. The heights were roughly symmetric with a mean of = 60 meters and a standard deviation ofSy = 6.1 meters. She wants to use this data to construct a t interval for the mean height of all theredwood trees in her park with 95% confidence.ConWhat critical value t' should Tilda use? ANSWER SOON PLS Which of these sets of ordered pairs would define a line with a negative slope? A. (2, 3) and (7, 6) B. (2, 3) and (-4, -1) C. (5, 5) and (0, 1) D. (3, 6) and (5, 1) A series circuit has a power source with a voltage of 12 V and two electrical loads. One load has a resistance of 2 , and the other has a resistance of 4 . What is the difference in voltage across the two loads? Mr Paul has 4 bars of chocolate. He distributes 1/3of each bar to 4 children.a) Write the fraction of chocolate distributed.b) Write the fraction of cholates left with Mr. Paul A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue can is 0.The p-value for this hypothesis test is 0.4676. Select the correct decision below.a. Reject the null hypothesis.b. Fail to reject the null hypothesis.c. Reject the alternative hypothesis.d. Accept the null hypothesis. HELPi been trying for a while and cant get it A truck driver drives at an average rate of 43 miles per hour.At this rate, how many miles will he drive in 11 hours?A: 473 milesB: 54 milesC: 483 milesD: 55 miles The romantic movement in literature began as a reaction to the movement For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school. The anthropologit i attending the annual conference of the American Aociation of Phyical Anthropologit (AAPA) and he i chatting with another paleoanthropologit named Jane who work at a nearby foil ite in Eatern Africa. Jane ak if he will hare hi foil data with her o he can compare the information uncovered at thi ite, and he worrie that haring the data with Jane will undermine hi authority in the dicipline. How hould he proceed? The following questions refer to the hypothetical reaction A + B products. The kinetics data given can be analyzed to answer the questions. [A]0 [B]0 Rate of decrease (mol/L) (mol/L) of [A] (M/s) 5.0 5.0 X 10.0 5.0 2X 5.0 10.0 2X Time (s) [B] (mol/L) 10.0 100 20.0 100 30.0 100 62. The rate law for the reaction is Rate = k[A]x[B]y. What are the values of x and y? A) x = 0 y = 1 B) x = 1 y = 0 C) x = 1 y = 1 D) x = 2 y = 1 E) x = 1 y = 2 The height of an object is 10 cm, and the height of its image is 6 cm. What is the magnification?Question 23 options:4160.61.67 Plz, help me with this question! Which organism is a producer Match each object which the characteristics. i need help with B) C) and D) Please Help me!!! The graph of the function y = f(x + 26) can be obtained from the graph ofy = = f(x) by one of the following actions: PART A: How did Dias's parents react to her complaints about the lack of black main characters in books? A. They sympathized with her but didnt think there was much that could be done. B. Her mother encouraged Dias to take action and carry out her plan. C. Her father offered to buy her more books with black main characters. D. They encouraged her to write her own books with black main characters ASAP HELP JUST THE ANSWER y=-5 8x+5y=-17 substitution